TSTP Solution File: SWV262-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV262-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 21:50:02 EDT 2023

% Result   : Unsatisfiable 0.22s 0.52s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SWV262-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n026.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Aug 29 10:08:05 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.22/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.IfglFFKGR0/cvc5---1.0.5_14897.p...
% 0.22/0.50  ------- get file name : TPTP file name is SWV262-2
% 0.22/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_14897.smt2...
% 0.22/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.52  % SZS status Unsatisfiable for SWV262-2
% 0.22/0.52  % SZS output start Proof for SWV262-2
% 0.22/0.52  (
% 0.22/0.52  (let ((_let_1 (forall ((V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (= (tptp.c_union (tptp.c_insert V_a V_B T_a) V_C T_a) (tptp.c_insert V_a (tptp.c_union V_B V_C T_a) T_a))))) (let ((_let_2 (forall ((V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_union tptp.c_emptyset V_y T_a) V_y)))) (let ((_let_3 (forall ((V_G $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_union V_G V_H tptp.tc_Message_Omsg)) (tptp.c_union (tptp.c_Message_Oparts V_G) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))) (let ((_let_4 (tptp.c_Message_Oparts tptp.v_H))) (let ((_let_5 (tptp.c_insert tptp.v_Y tptp.c_emptyset tptp.tc_Message_Omsg))) (let ((_let_6 (tptp.c_insert tptp.v_X tptp.c_emptyset tptp.tc_Message_Omsg))) (let ((_let_7 (tptp.c_union (tptp.c_Message_Oparts _let_6) (tptp.c_Message_Oparts _let_5) tptp.tc_Message_Omsg))) (let ((_let_8 (= (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_insert tptp.v_Y tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_union _let_7 _let_4 tptp.tc_Message_Omsg)))) (let ((_let_9 (not _let_8))) (let ((_let_10 (tptp.c_union _let_6 _let_5 tptp.tc_Message_Omsg))) (let ((_let_11 (tptp.c_Message_Oparts _let_10))) (let ((_let_12 (= _let_7 _let_11))) (let ((_let_13 (= (tptp.c_Message_Oparts (tptp.c_union _let_10 tptp.v_H tptp.tc_Message_Omsg)) (tptp.c_union _let_11 _let_4 tptp.tc_Message_Omsg)))) (let ((_let_14 (tptp.c_union tptp.c_emptyset _let_5 tptp.tc_Message_Omsg))) (let ((_let_15 (tptp.c_insert tptp.v_X _let_14 tptp.tc_Message_Omsg))) (let ((_let_16 (= _let_10 _let_15))) (let ((_let_17 (= _let_5 _let_14))) (let ((_let_18 (= (tptp.c_union _let_15 tptp.v_H tptp.tc_Message_Omsg) (tptp.c_insert tptp.v_X (tptp.c_union _let_14 tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) (let ((_let_19 (tptp.c_union tptp.c_emptyset tptp.v_H tptp.tc_Message_Omsg))) (let ((_let_20 (= (tptp.c_union _let_5 tptp.v_H tptp.tc_Message_Omsg) (tptp.c_insert tptp.v_Y _let_19 tptp.tc_Message_Omsg)))) (let ((_let_21 (= tptp.v_H _let_19))) (let ((_let_22 (_let_3))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 ((tptp.c_union (tptp.c_Message_Oparts V_G) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (let ((_let_25 (_let_1))) (let ((_let_26 (ASSUME :args _let_25))) (let ((_let_27 ((tptp.c_union (tptp.c_insert V_a V_B T_a) V_C T_a)))) (let ((_let_28 (forall ((V_y $$unsorted) (T_a $$unsorted)) (= V_y (tptp.c_union tptp.c_emptyset V_y T_a))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (_let_28))) (let ((_let_31 ((tptp.c_union tptp.c_emptyset V_y T_a)))) (let ((_let_32 (and _let_12 _let_13 _let_16 _let_17 _let_18 _let_20 _let_21))) (let ((_let_33 (APPLY_UF tptp.c_union))) (let ((_let_34 (REFL :args (tptp.tc_Message_Omsg)))) (let ((_let_35 (ASSUME :args (_let_12)))) (let ((_let_36 (ASSUME :args (_let_13)))) (let ((_let_37 (REFL :args (tptp.v_H)))) (let ((_let_38 (ASSUME :args (_let_16)))) (let ((_let_39 (ASSUME :args (_let_18)))) (let ((_let_40 (APPLY_UF tptp.c_insert))) (let ((_let_41 (ASSUME :args (_let_17)))) (let ((_let_42 (ASSUME :args (_let_20)))) (let ((_let_43 (ASSUME :args (_let_21)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_32)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_35 _let_36 _let_38 _let_39 _let_41 _let_42 _let_43) (SCOPE (TRANS (CONG (TRANS (CONG (REFL :args (tptp.v_X)) (TRANS (CONG (REFL :args (tptp.v_Y)) (SYMM (SYMM _let_43)) _let_34 :args _let_40) (SYMM _let_42) (CONG (SYMM (SYMM _let_41)) _let_37 _let_34 :args _let_33)) _let_34 :args _let_40) (SYMM _let_39) (CONG (SYMM _let_38) _let_37 _let_34 :args _let_33)) :args (APPLY_UF tptp.c_Message_Oparts)) (SYMM (SYMM _let_36)) (CONG (SYMM _let_35) (REFL :args (_let_4)) _let_34 :args _let_33)) :args (_let_12 _let_13 _let_16 _let_18 _let_17 _let_20 _let_21))) :args (_let_12 _let_13 _let_16 _let_17 _let_18 _let_20 _let_21))) :args (true _let_32)) :args ((or _let_8 (not _let_12) (not _let_13) (not _let_16) (not _let_17) (not _let_18) (not _let_20) (not _let_21)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.v_H tptp.tc_Message_Omsg QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_30)) _let_29 :args (_let_21 false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.v_Y tptp.c_emptyset tptp.tc_Message_Omsg tptp.v_H QUANTIFIERS_INST_E_MATCHING _let_27)) :args _let_25)) _let_26 :args (_let_20 false _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.v_X _let_14 tptp.tc_Message_Omsg tptp.v_H QUANTIFIERS_INST_E_MATCHING _let_27)) :args _let_25)) _let_26 :args (_let_18 false _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_5 tptp.tc_Message_Omsg QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_30)) _let_29 :args (_let_17 false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.v_X tptp.c_emptyset tptp.tc_Message_Omsg _let_5 QUANTIFIERS_INST_E_MATCHING _let_27)) :args _let_25)) _let_26 :args (_let_16 false _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_10 tptp.v_H QUANTIFIERS_INST_E_MATCHING _let_24)) :args _let_22)) _let_23 :args (_let_13 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_6 _let_5 QUANTIFIERS_INST_E_MATCHING _let_24)) :args _let_22))) _let_23 :args (_let_12 false _let_3)) (ASSUME :args (_let_9)) :args (false false _let_21 false _let_20 false _let_18 false _let_17 false _let_16 false _let_13 false _let_12 true _let_8)) :args (_let_9 _let_3 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.52  )
% 0.22/0.53  % SZS output end Proof for SWV262-2
% 0.22/0.53  % cvc5---1.0.5 exiting
% 0.22/0.53  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------